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It is important to develop a unified theoretical framework to describe the nuclear experiments and astrophysical observations based on the same effective nuclear interactions. Based on the so-called Skyrme pseudopotential up to…

Nuclear Theory · Physics 2024-04-23 Si-Pei Wang , Rui Wang , Jun-Ting Ye , Lie-Wen Chen

We study the effect of time-odd components of the Skyrme energy density functionals on the ground state of finite nuclei and in nuclear matter. The spin-density dependent terms, which have been recently proposed as an extension of the…

Based on an extended Skyrme interaction that includes the terms in relative momenta up to sixth order, corresponding to the so-called Skyrme pseudopotential up to next-to-next-to-next-to leading order (N3LO), we derive the expressions of…

Nuclear Theory · Physics 2018-12-05 Rui Wang , Lie-Wen Chen , Ying Zhou

This paper presents a detailed assessment of the ability of the 240 Skyrme interaction parameter sets in the literature to satisfy a series of criteria derived from macroscopic properties of nuclear matter in the vicinity of nuclear…

Nuclear Theory · Physics 2014-06-26 M. Dutra , O. Lourenço , J. S. Sá Martins , A. Delfino , J. R. Stone , P. D. Stevenson

We present BSkG3, the latest entry in the Brussels-Skyrme-on-a-grid series of large-scale models of nuclear structure based on an energy density functional. Compared to its predecessors, the new model offers a more realistic description of…

Nuclear Theory · Physics 2023-10-09 Guilherme Grams , Wouter Ryssens , Guillaume Scamps , Stephane Goriely , Nicolas Chamel

The non-relativistic model of nuclear matter with Brussels extended Skyrme interactions is employed in order to build, within a Bayesian approach, models for the dense matter equation of state (EOS). In addition to a minimal set of…

Nuclear Theory · Physics 2024-09-12 Mikhail V. Beznogov , Adriana R. Raduta

The phenomenological Skyrme energy density functional theory is one of the most popular theories for dealing with finite nuclei and infinite nuclear matter, including neutron star matter. However, the density dependence of the effective…

Nuclear Theory · Physics 2025-01-06 Mingya Duan , Michael Urban

Numerical simulations of core-collapse supernovae, mergers of binary neutron stars and formation of stellar black holes, which employed standard Skyrme interactions, established clear correlations between the evolution of these processes,…

Nuclear Theory · Physics 2026-01-16 Adriana R. Raduta , Mikhail V. Beznogov

Most of the Skyrme interactions are known to predict spin or isospin instabilities beyond the saturation density of nuclear matter which contradict predictions based on realistic interactions. A modification of the standard Skyrme…

Nuclear Theory · Physics 2015-05-13 Jérôme Margueron , Hiroyuki Sagawa

The recently developed extended Skyrme effective interaction based on the so-called N3LO Skyrme pseudopotential is generalized to the general N$n$LO case by incorporating the derivative terms up to 2$n$th-order into the central term of the…

Nuclear Theory · Physics 2025-04-18 Si-Pei Wang , Xin Li , Rui Wang , Jun-Ting Ye , Lie-Wen Chen

[Background] Symmetry restoration and configuration mixing in the spirit of the generator coordinate method based on energy density functionals have become widely used techniques in low-energy nuclear structure physics. Recently, it has…

Nuclear Theory · Physics 2012-11-27 K. Washiyama , K. Bennaceur , B. Avez , M. Bender , P. -H. Heenen , V. Hellemans

The proper understanding of the equation of state (EoS) of highly asymmetric nuclear matter is essential when studying systems such as neutron stars (NSs). Using zero-range Skyrme interactions and finite-range interactions such as Gogny…

Nuclear Theory · Physics 2020-03-03 Claudia Gonzalez-Boquera

State-of-the-art models based on nuclear Density Functional Theory are successful in the description of nuclei throughout the whole nuclear chart. Among them, some differences arise regarding their accuracy. For a given nuclear model, this…

Nuclear Theory · Physics 2025-10-23 Pietro Klausner , Gianluca Colò , Xavier Roca-Maza , Enrico Vigezzi

The stability of the equation of state predicted by Skyrme-type interactions is examined. We consider simultaneously symmetric nuclear matter and pure neutron matter. The stability is defined by the inequalities that the Landau parameters…

Nuclear Theory · Physics 2009-11-07 Jerome Margueron , Jesus Navarro , Van Giai Nguyen

Providing reliable data on the properties of atomic nuclei and infinite nuclear matter to astrophysical applications remains extremely challenging, especially when treating both properties coherently within the same framework. Methods based…

Many common Skyrme functionals present ferromagnetic instabilities or unrealistic density dependence of the spin-dependent Landau parameters. To solve these problems, we consider the Skyrme interaction as a density-functional rather than a…

Nuclear Theory · Physics 2025-11-04 Mingya Duan , Michael Urban

In numerical simulations of core-collapse supernova and binary neutron stars mergers, information about the energetics and composition of matter is implemented via external tables covering the huge ranges of thermodynamic conditions…

Nuclear Theory · Physics 2025-09-11 Adriana R. Raduta , Mikhail V. Beznogov

We implement for the first time the simulated annealing method (SAM) to the problem of searching for the global minimum in the hyper-surface of the chi-square function which depends on the values of the parameters of a Skyrme type effective…

Nuclear Theory · Physics 2008-11-26 B. K. Agrawal , S. Shlomo , V. Kim Au

The non-relativistic model of nuclear matter with zero-range Skyrme interactions is employed within a Bayesian approach in order to study the behavior of neutron stars (NSs) equation of state (EOS). A minimal number of constraints from…

High Energy Astrophysical Phenomena · Physics 2024-02-28 Mikhail V. Beznogov , Adriana R. Raduta

A general review of the crystalline solutions of the generalized Skyrme model and their application to the study of cold nuclear matter at finite density and the Equation of State (EOS) of neutron stars is presented. For the relevant range…

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